{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","short_pith_number":"pith:4LZYWMJL","canonical_record":{"source":{"id":"2607.13280","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2026-07-14T21:31:14Z","cross_cats_sorted":[],"title_canon_sha256":"1dd734bf14d552fcf1de093fd028c2b224aa25407d08e02d3d923651baeacb50","abstract_canon_sha256":"876baf14e99331cfe67f5eda32b786faa4260179600f786f18847b85317e2d02"},"schema_version":"1.0"},"canonical_sha256":"e2f38b312b6d7006383925b4b13e0d549fd5b3ac6a58f0df9c1618172bd91c75","source":{"kind":"arxiv","id":"2607.13280","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13280","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13280v1","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13280","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"4LZYWMJLNVYA","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"4LZYWMJLNVYAMOBZ","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"4LZYWMJL","created_at":"2026-07-16T00:22:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","target":"record","payload":{"canonical_record":{"source":{"id":"2607.13280","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2026-07-14T21:31:14Z","cross_cats_sorted":[],"title_canon_sha256":"1dd734bf14d552fcf1de093fd028c2b224aa25407d08e02d3d923651baeacb50","abstract_canon_sha256":"876baf14e99331cfe67f5eda32b786faa4260179600f786f18847b85317e2d02"},"schema_version":"1.0"},"canonical_sha256":"e2f38b312b6d7006383925b4b13e0d549fd5b3ac6a58f0df9c1618172bd91c75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T00:22:07.385603Z","signature_b64":"WZ+WTiLFVmB/hSjBbbOLzkYN7C/slLwZuCUgu3Xkvyog9+Q3tHI5XwavR5BSaLX8JB+aiEHay5EhABKYNS0eAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2f38b312b6d7006383925b4b13e0d549fd5b3ac6a58f0df9c1618172bd91c75","last_reissued_at":"2026-07-16T00:22:07.384804Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T00:22:07.384804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.13280","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-16T00:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrHuNsYZBps5v6JwSZxGtCY9eIHEI7NR3I8TIB2mVOQ2toOfLhfb9C0V4ZwBTVz3se3hHfyBacf2tvBH5amLBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T06:16:03.765800Z"},"content_sha256":"67f39fa6bef0fba41799f8f35a94e4f222db1e8d784f738d0ec2d75b1adf9140","schema_version":"1.0","event_id":"sha256:67f39fa6bef0fba41799f8f35a94e4f222db1e8d784f738d0ec2d75b1adf9140"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modeling the Influence of Questing Behavior and Host Availability on Tick Population Dynamics","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carli Peterson, Christopher Kribs, Erika Gallo","submitted_at":"2026-07-14T21:31:14Z","abstract_excerpt":"Ixodes scapularis, the blacklegged tick, vectors several human pathogens, making understanding its population dynamics essential to assessing and predicting disease risk. Tick demography depends on a sequence of biological events, including reproduction, off-host survival, and successful host attachment for blood feeding, each of which is influenced by host community and questing behavior. In this paper, we developed a stage-structured nonlinear system of difference equations that incorporates this sequence of events through ratio-dependent host-attachment, allowing the model to retain biologi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13280","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.13280/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-16T00:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oTGikKBE7wOc0af6Sid0hLtfQ63PbfMuju2o6GopzBp5w8W3uTB1ShKrG2pUba3lvgsEqSIZBoXoDxbShIuFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T06:16:03.766339Z"},"content_sha256":"b207399118350af46aed0e48e8ce43d496f0174dad34f9a65b715eb174732dcb","schema_version":"1.0","event_id":"sha256:b207399118350af46aed0e48e8ce43d496f0174dad34f9a65b715eb174732dcb"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1644/1545-1542(2003)084<0020:IOLEOP>2.0.CO;2 resolves to 'INFLUENCE OF LANDSCAPE ELEMENTS ON POPULATION DENSITIES AND HABITAT USE OF THREE SMALL-MAMMAL SPECIES'. A reader following the printed text alone cannot reach it.","snippet":"K. E. Mabry, E. A. Dreelin, G. W. Barrett, Influence of lan d- scape elements on population densities and habitat use of th ree small-mammal species, Journal of Mammalogy 84 (1) (2003) 20 –25. doi:10.1644/1545-1542(2003)084<0020:IOLEOP>2.0.C","arxiv_id":"2607.13280","detector":"doi_compliance","evidence":{"ref_index":70,"verdict_class":"incontrovertible","resolved_title":"INFLUENCE OF LANDSCAPE ELEMENTS ON POPULATION DENSITIES AND HABITAT USE OF THREE SMALL-MAMMAL SPECIES","printed_excerpt":"10.1644/1545-1542(2003)084","reconstructed_doi":"10.1644/1545-1542(2003)084<0020:IOLEOP>2.0.CO;2"},"severity":"advisory","ref_index":70,"audited_at":"2026-08-02T05:50:35.517010Z","event_type":"pith.integrity.v1","detected_doi":"10.1644/1545-1542(2003)084<0020:IOLEOP>2.0.CO;2","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"f06467a1e74af060861905ebbcca4c666c585fd2be53a6c8b9744fb9f8349d13","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"INFLUENCE OF LANDSCAPE ELEMENTS ON POPULATION DENSITIES AND HABITAT USE OF THREE SMALL-MAMMAL SPECIES","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17284,"payload_sha256":"9a127c7421f9dcd1722e3520632949bd6b4271024c11ee9605e1da7f235d453f","signature_b64":"Q1nSpMkaUhIJbU8gzx9NBaIUtc1zHBiLJNaGq33bdKmFmbiAEBFpBhtM2HAv5zubWSQc+H2/JC6CmvJB608wDg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-02T05:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ibi1L/2jYovk7HC9NELGUi54B6k6Sfz87nKKNmR9XPRwPmWOX+FvV+gbVspVRYAaBM4ljrtc/u6sty4seTJuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T06:16:03.770134Z"},"content_sha256":"04361e30c4735cc3dbcdcf9a709c3352f12c14ea5f9b6a0c8919896798f3f739","schema_version":"1.0","event_id":"sha256:04361e30c4735cc3dbcdcf9a709c3352f12c14ea5f9b6a0c8919896798f3f739"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","target":"integrity","payload":{"note":"Identifier '10.1656/1528-7092(2004)003' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"T. L. Scarlett, Acorn production and winter reproducti on in white-footed mice ( Per- omyscus leucopus ) in a southern piedmont forest, Southeastern Naturalist 3 ( 3) (2004) 483–494. doi:10.1656/1528-7092(2004)003[0483:APAWRI]2.0.CO;2","arxiv_id":"2607.13280","detector":"doi_compliance","evidence":{"doi":"10.1656/1528-7092(2004)003","arxiv_id":null,"ref_index":67,"raw_excerpt":"T. L. Scarlett, Acorn production and winter reproducti on in white-footed mice ( Per- omyscus leucopus ) in a southern piedmont forest, Southeastern Naturalist 3 ( 3) (2004) 483–494. doi:10.1656/1528-7092(2004)003[0483:APAWRI]2.0.CO;2","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":67,"audited_at":"2026-08-02T05:50:35.517010Z","event_type":"pith.integrity.v1","detected_doi":"10.1656/1528-7092(2004)003","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"640b253995b87e5724b0ebf93234ee5ed36d4f07bb4749f1a44aab41d27f59b6","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17283,"payload_sha256":"c967953c51fed66c4bb36436eef971f948a0dbb65266e5418b02e54812cc4115","signature_b64":"yTR6g+kJNYL/vzq1QHXHaQBgt+nI/UxQhz10WvO2ypM05yyZH/+LyZhdGcFDhIiPSV4GYozq5XlFcc2geCTWBw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-02T05:53:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ci0YCUhp5CWqmaNLZAk2haIemZH5PevE0G68iHbyN6UXCWm/sel01/i1DtlRS3HHXv+V03BgZT7o3Wqe0SARDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T06:16:03.770558Z"},"content_sha256":"35970f3b7f04a00b1f7e3196ffd46534ca5ded56822900b384ac7975b6942c7e","schema_version":"1.0","event_id":"sha256:35970f3b7f04a00b1f7e3196ffd46534ca5ded56822900b384ac7975b6942c7e"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","target":"integrity","payload":{"note":"Identifier '10.1603/0022-2585(2000)037' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"T. J. Daniels, R. C. Falco, D. Fish, Estimating populati on size and drag sampling efficiency for the blacklegged tick (Acari: Ixo- didae), Journal of Medical Entomology 37 (3) (2000) 357–363 . doi:10.1603/0022-2585(2000)037[0357:EPSADS]2.0.C","arxiv_id":"2607.13280","detector":"doi_compliance","evidence":{"doi":"10.1603/0022-2585(2000)037","arxiv_id":null,"ref_index":35,"raw_excerpt":"T. J. Daniels, R. C. Falco, D. Fish, Estimating populati on size and drag sampling efficiency for the blacklegged tick (Acari: Ixo- didae), Journal of Medical Entomology 37 (3) (2000) 357–363 . doi:10.1603/0022-2585(2000)037[0357:EPSADS]2.0.CO;2","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":35,"audited_at":"2026-08-02T05:50:35.517010Z","event_type":"pith.integrity.v1","detected_doi":"10.1603/0022-2585(2000)037","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"1fc61967281ec2bf95ef7abf25d38dbacd2b55564f63734362f3bdb05032673d","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":17282,"payload_sha256":"73842bb510ce0bcb003865a3d2bac3ea7f9f1b0888b0dde45c3e4900261fdcfa","signature_b64":"2NVgIxbqcbrYevjiIYxMsCYzabKccQAQUqs/6XEgyMMSWLbVAolgkEf/ryJ3PgZ82E20mF0y6A8/KF7h/ZugCQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-02T05:53:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m+luA71JXagLGs6PSsKomyeYLuGfDy5cGs3Lgc3MYRslzgYCNV+vsHEnPa/U/yZjIraRuCRpUXfDsH6HJf+hBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T06:16:03.770957Z"},"content_sha256":"828f048da344d16b8cb2d5ad2769eda1e5fbc0aff110a1eea33cdfb54553fd4d","schema_version":"1.0","event_id":"sha256:828f048da344d16b8cb2d5ad2769eda1e5fbc0aff110a1eea33cdfb54553fd4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/bundle.json","state_url":"https://pith.science/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T06:16:03Z","links":{"resolver":"https://pith.science/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS","bundle":"https://pith.science/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/bundle.json","state":"https://pith.science/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4LZYWMJLNVYAMOBZEW2LCPQNKS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4LZYWMJLNVYAMOBZEW2LCPQNKS","merge_version":"pith-open-graph-merge-v1","event_count":5,"valid_event_count":5,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"876baf14e99331cfe67f5eda32b786faa4260179600f786f18847b85317e2d02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2026-07-14T21:31:14Z","title_canon_sha256":"1dd734bf14d552fcf1de093fd028c2b224aa25407d08e02d3d923651baeacb50"},"schema_version":"1.0","source":{"id":"2607.13280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13280","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13280v1","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13280","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"4LZYWMJLNVYA","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_16","alias_value":"4LZYWMJLNVYAMOBZ","created_at":"2026-07-16T00:22:07Z"},{"alias_kind":"pith_short_8","alias_value":"4LZYWMJL","created_at":"2026-07-16T00:22:07Z"}],"graph_snapshots":[{"event_id":"sha256:b207399118350af46aed0e48e8ce43d496f0174dad34f9a65b715eb174732dcb","target":"graph","created_at":"2026-07-16T00:22:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.13280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Ixodes scapularis, the blacklegged tick, vectors several human pathogens, making understanding its population dynamics essential to assessing and predicting disease risk. Tick demography depends on a sequence of biological events, including reproduction, off-host survival, and successful host attachment for blood feeding, each of which is influenced by host community and questing behavior. In this paper, we developed a stage-structured nonlinear system of difference equations that incorporates this sequence of events through ratio-dependent host-attachment, allowing the model to retain biologi","authors_text":"Carli Peterson, Christopher Kribs, Erika Gallo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2026-07-14T21:31:14Z","title":"Modeling the Influence of Questing Behavior and Host Availability on Tick Population Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13280","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:67f39fa6bef0fba41799f8f35a94e4f222db1e8d784f738d0ec2d75b1adf9140","target":"record","created_at":"2026-07-16T00:22:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"876baf14e99331cfe67f5eda32b786faa4260179600f786f18847b85317e2d02","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2026-07-14T21:31:14Z","title_canon_sha256":"1dd734bf14d552fcf1de093fd028c2b224aa25407d08e02d3d923651baeacb50"},"schema_version":"1.0","source":{"id":"2607.13280","kind":"arxiv","version":1}},"canonical_sha256":"e2f38b312b6d7006383925b4b13e0d549fd5b3ac6a58f0df9c1618172bd91c75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2f38b312b6d7006383925b4b13e0d549fd5b3ac6a58f0df9c1618172bd91c75","first_computed_at":"2026-07-16T00:22:07.384804Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T00:22:07.384804Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WZ+WTiLFVmB/hSjBbbOLzkYN7C/slLwZuCUgu3Xkvyog9+Q3tHI5XwavR5BSaLX8JB+aiEHay5EhABKYNS0eAA==","signature_status":"signed_v1","signed_at":"2026-07-16T00:22:07.385603Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.13280","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:04361e30c4735cc3dbcdcf9a709c3352f12c14ea5f9b6a0c8919896798f3f739","sha256:35970f3b7f04a00b1f7e3196ffd46534ca5ded56822900b384ac7975b6942c7e","sha256:828f048da344d16b8cb2d5ad2769eda1e5fbc0aff110a1eea33cdfb54553fd4d"]}],"invalid_events":[],"applied_event_ids":["sha256:67f39fa6bef0fba41799f8f35a94e4f222db1e8d784f738d0ec2d75b1adf9140","sha256:b207399118350af46aed0e48e8ce43d496f0174dad34f9a65b715eb174732dcb"],"state_sha256":"8b897eb29c4c3ba22cb54b4884c8e3a10f8aaed19e4ffe0074f476681885225c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NVGvaAi/MAWzgbZGLe6EUnC9Qu2bGV+QKIWYyvg5NkG6HGwktWKhz2gT7tGrilvw9nTnRPk9Ub+cevfCdwsiBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T06:16:03.774353Z","bundle_sha256":"dda8bc70abc59882759b1d4483999360e1b7ad05d0000d76e4052eb8e8b13a64"}}